9^2 × 9^6=9^10/9^2
When multiplying exponents, if the bases are the same you add the exponents.
9^2 × 9^6 = 9^(2+6)=9^8
When dividing exponents, I'd the bases are the same you subtract the bottom exponent from the top.
9^10/9^2=9^(10-2)=9^8
9^8=9^8
Solution: 9^10 over 9^2
Answer: OPTION C.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the system of equations:
Solve for "y" from the first equation in order to write it in Slope-Intercept form:
Since the lines have different slopes, they cannot be parallel or coincident. Therefore, they are Intersecting.
It might seem silly, but it's important to say that something is equal to itself. This applies to numbers like saying 2 = 2 and it also applies to geometric lengths as well. In line 5, we say that segment DB is the same length as segment DB. In short, DB is congruent to itself. This property is known as the reflexive property of congruence. You can think of a mirror giving off a reflection which has a similar word structure to reflexive.
You are correct if you were going to select choice B as the answer.
Answer:
Money with Mary = $28
Money with Vivan = $12
Step-by-step explanation
Money with Mary = $ m
Money with Vivan = $v
If mary gave vivan $8 they would have same amount. $ 8 is reduced from Mary's amount 'm' and $8 is added to vivan amount 'v'
m - 8 = v + 8
m = v + 8 +8
m -v = 16 ----------------(I)
If vivan gives mary $8, then mary would have 9 times as much as vivan.
9(v - 8) = m + 8
9v - 72 = m + 8
9v - m = 8 + 72
-m + 9v = 80 --------------(II)
Add equation (I) and (II). Thus m will be cancelled and we will get the value of v
(I) m - v = 16
(II) <u>-m + 9v = 80</u> {Now add}
8v = 96
v = 96/8
v = $ 12
Plugin v = 12 in equation (I)
m - 12 = 16
m = 16 +12
m =$ 28
